Lattice Boltzmann simulation with arbitrary equilibrium func

[simoncks]

Hi everyone,

I plan to do a simulation of a Boltzmann equation with experimentally known scattering between two particles. Initially I intend to incorporate the scattering into the collision integral and use Lattice Boltzmann Equation (LBE) afterwards. But I only see LGBK (DnQb) which requires a specific form of equilibrium density function whereas mine might not suit.
Is there any LBE which does not require a specific form of equilibrium density function? Or is there any LBE which only requires input of scattering function?

I am happy to provide more information if needed.

Thanks
Simon

 

[simoncks]

Specifically, I want a lattice Boltzmann method which can allow me to input arbitrary collision operator. It is ok to make some approximation.

 

[simoncks]

A software of D2Q9 method without BGK approximation would be an ideal. Higher order of Q would also be favourable.